Calculus III - Fall 2017
Instructor:Dr.Prince Chidyagwai
Office: Knott Hall 301d
Phone: 410-617-2710
Office Hours: MTWF 2:00 - 3:00 PM
Email: pchidyagwai@loyola.edu
Course Syllabus
Assignments and Announcements
Webwork:
Online assigments will be available on the course WeBWork site.
Before you begin please review the following webwork guide by Dr O
Your initial login is your loyola e-mail user ID. Your initial password is your Loyola student ID number (without the leading zeros).
Please email me if you have an difficulty with the login process.
Announcements:
List of indentities
WeBWork
Practice Problems:
3D coordinate system, planes, surfaces
Vectors in 3D, vector addition (parallelogram law), scalar multiplication, vector properties, standard basis, unit vectors
Dot product, orthogonal vectors, scalar and vector projections
Cross product
Equations of Planes and Lines
- Section 12.5 -- 1,5,10,11,12,19,23,28,31,34,45,48,51,64(solutions)
Quadratic sufaces
Vector functions
- Section 13.1 -- 1,3,18(solutions)
- Section 13.2 -- 13,18,19,23,34,35,42(solutions)
- Section 13.3 -- 3,5,25
- Section 13.4 -- 15,16,19,22(solutions)
Contour Lines
Limits
Multivariable functions and Limits
- Section 14.1 -- 9,15,19,23,25,27,32,48,53,54(solutions)
- Section 14.2 -- 5,8,9,11(sol),14,17,18,39,40(solutions)
Partial Derivatives and Tangent Planes
- Section 14.3 -- 15,19,20,33,35,47,53,54,59,63,74(solutions)
- Section 14.4 -- 3,5,6,11,13,17,19,21,42(solutions)
Chain Rule
- Section 14.5 -- 1,5,11,13,14,17,20,21,24,27,28,34,35(solutions)
Directional derivatives and Maxima and Minima
- Section 14.6 -- 5,7,9,15,18,19,23,32,34,41,45,57(solutions)
- Section 14.7 -- 5,8,9,15,16,22,44,53,(solutions)
- Exam 2 solutions
Lagrange Multipliers
Double itegrals over rectangular regions and general regions
- Worksheet 4 solutions
- Section 15.1 -- 4b,12,15,17,20,26,29,33,35(solutions)
- Section 15.2 -- 3,5,9,15,17,24,25,27,39,40,47,51(solutions)
Double integrals over polar regions
Triple integrals
- Section 15.6 -- 3,5,8,12,13,14,16,17,19,20,21,27,28 (solutions)
Triple integrals in Cylindrical and Spherical coordinates
- Section 15.7 -- 15,17,16,17,18,19,20,21,22,29,30(solutions)
- Section 15.8 -- 11,17,18,19,20,21,25,27,30,35(solutions)